Drain beets, reserving juice (about 2/3 cup). Set beets aside for another use. Combine beet juice, water and vinegar. Arrange egg whites cut side down in shallow container. Pour beet mixture over eggs. Cover tightly. Refrigerate at least several hours or overnight, turning occasionally.
Mix and match your toppings! The possibilities are endless – shrimp, chives, smoked salmon, crabmeat, capers, diced red bell pepper, Italian parsley, cucumber, fresh dill, etc.
Deviled eggs can be made up to 12 hours ahead. Refrigerate, covered.
Very fresh eggs can be difficult to peel. To ensure easily peeled eggs, buy and refrigerate them a week to 10 days in advance of cooking. This brief “breather” allows the eggs time to take in air, which helps separate the membranes from the shell.
Hard-boiled eggs are easiest to peel right after cooling. Cooling causes the egg to contract slightly in the shell.
To peel a hard-boiled egg: Gently tap egg on countertop until shell is finely crackled all over. Roll egg between hands to loosen shell. Starting peeling at large end, holding egg under cold running water to help ease the shell off.
No-mess method: Combine filling ingredients in 1-quart plastic food-storage bag. Press out air and seal bag. Press and roll bag with hand until mixture is well blended. Push filling toward bottom corner of bag. Snip off about 1/2-inch of corner. Squeeze filling from bag into egg whites.
Picnic or tailgate tip: Prepare filling in plastic bag, as above. Carry whites and yolk mixture separately in cooler. Fill eggs on the spot, pressing filling out of snipped corner of bag.